Dissertation > Excellent graduate degree dissertation topics show
Periodic Solutions for Semilinear Evolution Equation in Ordered Banach Space
Author: LiXiaoLong
Tutor: LiYongXiang
School: Northwest Normal University
Course: Basic mathematics
Keywords: Banach space semilinear evolution equation positive C0semigroups periodic solution normal convexcone upperωquasisolution lowerωquasisolution measure of noncompactness
CLC: O177
Type: Master's thesis
Year: 2006
Downloads: 34
Quote: 0
Read: Download Dissertation
Abstract
This paper discusses the existence ofωperiodic solutions for semilinear evolution equationsin an ordered Banach space E. where A is a closed liner operator in E,—A generates a C_{0}semigroupT（t）（i≥0） on E and f（t,u,v） :R×E×E→E is a continuous mapping which is wperiodic in t.In this paper, the quasiupper and lower solution method and the positive operators semigroups theory are applied to periodic solution problems for semilinear evolutions equations. The results on the existence ofωperiodic solution are obtained by using the fixed point theorem and the monotone iteration scheme. on the other hand, the existence and uniqueness result of periodic solutions for associated linear evolution equation is established, and the spectral radius of periodic resolvent operator is accurately estimated. With the aid of the estimation the existence and uniqueness results of periodic solutions are obtained by using the condition of order. The present results generalize, unify and extend the relevant conclusions in ordinary differential equations, partial differential equations and abstract ordinary differential equations.

Related Dissertations
 Perturbation Analysis of MoorePenrose Metric Generalized Inverse of Linear Operators in Banach Space,O177.2
 Asymptotic Behavior for Some Kinds of Functional Differential Equations,O175.12
 Qualitative Analysis on the Predatorprey Systems with Undercrowding Effect,O175.1
 Study on the Radical Operators and Related Issues,O177.2
 The Spectrum of Elementary Operators and the Structure Problem of Banach Spaces,O177.2
 Study on the Operators and the Spectrum of the Operators on Banach Space,O177.2
 Some Bifurcation Problems of the Plane Dynamic System and Applications,O175.12
 Iterative Approximations of Fixed Points in Banach Spaces,O177.91
 Some integral time scale differential equations shelves Existence,O175.5
 The Spacetime Dynamic Analysis in Predatorprey System with Holling Type Ⅲ Functional Response,O175.2
 Study on the Perturbations of Spectrum of Operator Matrices and Drazin Operators,O177.2
 Some New Classes of Operators on Banach Spaces and the Perturbation Classes Problem,O177.2
 Study on the Completion Problems of Operator Partial Matrices,O177.2
 The Research of a Ratiodependent Predatorprey System with HollingⅢ Functional Response,O175
 Types of eco  mathematical model periodic solution with persistent,O175
 System of continuous and periodic solutions predator,O175
 Types of Differential Equations with Boundary Value Problems,O175.8
 The Problems of Periodic Pollution about Two Kinds of Functional Differential Equation,O175
 The Study on Epidemic Models with Stage of Infection,O242.1
 Periodic Solution of Several Classes Chemostat Microorganism Cultures Models,O175
 The Study on Some Ecoepidemiological Models for Predator with Epidemic,O175
CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
© 2012 www.DissertationTopic.Net Mobile
